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Finding the Fourth Proportional to 73,591.94, 110,395.81 and 31,476.40

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Solution

The fourth proportional to 73,591.94, 110,395.81 and 31,476.40 is: 47,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,591.94 : 110,395.81 = 31,476.40 : x
  2. Step 2: Convert to fraction form
    73,591.94/110,395.81 = 31,476.40/x
  3. Step 3: Cross multiply
    73,591.94x = 110,395.81 × 31,476.40
  4. Step 4: Simplify right side
    73,591.94x = 3,474,862,673.88
  5. Step 5: Solve for x
    x = 3,474,862,673.88/73,591.94
  6. Step 6: Final answer
    x = 47,217.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.